Question

Find the distance between the points A(10, –9) and B(8, 7). Round your answer to the nearest hundredth.

A.5.09
B.10.63
C.15.00
D.16.12

Answer 1

Answer: D. 16.12

Explanation:

Answer 2

d = √( (x₂ -x₁)² + (y₂ - y₁)²)

x₁ = 10, y₁ = -9, x₂ = 8, y₂ = 7

d = √( (x₂ -x₁)² + (y₂ - y₁)²)

d = √( (8 - 10)² + (7 - -9)²)

d = √( (-2)² + (7+9)²)

d = √( (-2)² + (16)²)

d = √(4 + 256)

d = √260 Use a calculator

d ≈ 16.1245

d ≈ 16.12 units to the nearest hundredth.

Option D.